667250330208 has 768 divisors, whose sum is σ = 2444824166400. Its totient is φ = 154372055040.

The previous prime is 667250330203. The next prime is 667250330249. The reversal of 667250330208 is 802033052766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 667250330208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667250330203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 690020541 + ... + 690021507.

It is an arithmetic number, because the mean of its divisors is an integer number (3183364800).

Almost surely, 2^667250330208 is an apocalyptic number.

667250330208 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667250330208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222412083200).

667250330208 is an abundant number, since it is smaller than the sum of its proper divisors (1777573836192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

667250330208 is a wasteful number, since it uses less digits than its factorization.

667250330208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 667250330208 in words is "six hundred sixty-seven billion, two hundred fifty million, three hundred thirty thousand, two hundred eight".